Numerical Algorithms for Computing Eigenvalues of Discontinuous Dirac System Using Sinc‐Gaussian Method

Abstract and Applied Analysis - Tập 2012 Số 1 - 2012
A. H. Bhrawy1,2, M. M. Tharwat1,2, A. S. Al-Fhaid2
1Department of Mathematics, Faculty of Science, Beni-Suef University, Beni-Suef 62511
2Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589

Tóm tắt

The eigenvalues of a discontinuous regular Dirac systems with transmission conditions at the point of discontinuity are computed using the sinc‐Gaussian method. The error analysis of this method for solving discontinuous regular Dirac system is discussed. It shows that the error decays exponentially in terms of the number of involved samples. Therefore, the accuracy of the new method is higher than the classical sinc‐method. Numerical results indicating the high accuracy and effectiveness of these algorithms are presented. Comparisons with the classical sinc‐method are given.

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